Question

Use the image to answer the question.

A 3 D cylinder shows a base radius of 8 millimeters and perpendicular height of 13 millimeters. A right angle is formed at the center of the base.

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

1 answer

To find the volume of a cylinder, we use the formula V = πr^2h, where r is the radius of the base and h is the height.

Given that the base radius is 8 millimeters and the height is 13 millimeters, we can substitute these values into the formula:

V = π(8^2)(13)
= π(64)(13)
= 832π

To round the answer to the nearest hundredth, we use the value of π as approximately 3.14:

V ≈ 832 × 3.14
≈ 2611.68

Therefore, the volume of the cylinder is approximately 2611.68 cubic millimeters.
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